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Finding the Fourth Proportional to 76,871.32, 106,083 and 42,882.03

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Solution

The fourth proportional to 76,871.32, 106,083 and 42,882.03 is: 59,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871.32 : 106,083 = 42,882.03 : x
  2. Step 2: Convert to fraction form
    76,871.32/106,083 = 42,882.03/x
  3. Step 3: Cross multiply
    76,871.32x = 106,083 × 42,882.03
  4. Step 4: Simplify right side
    76,871.32x = 4,549,054,388.49
  5. Step 5: Solve for x
    x = 4,549,054,388.49/76,871.32
  6. Step 6: Final answer
    x = 59,177.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.